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Finding the Third Proportional to 10,357,829 and 15,680,696

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Solution

The third proportional to 10,357,829 and 15,680,696 is: 23,738,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357,829 : 15,680,696 = 15,680,696 : x
  2. Step 2: Convert to fraction form
    10,357,829/15,680,696 = 15,680,696/x
  3. Step 3: Cross multiply
    10,357,829x = 15,680,696 × 15,680,696
  4. Step 4: Simplify right side
    10,357,829x = 245,884,227,044,416
  5. Step 5: Solve for x
    x = 245,884,227,044,416/10,357,829
  6. Step 6: Final answer
    x = 23,738,973.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.